The Function approximate the velocity (in feet per second) of an object dropped from a height of x feet
right before it hits the ground on Earth and on Mars.
Earth: E(X) = 8V
Mars: M(x) = 0.6(E(x))
What is the velocity of an object dropped from a height og 25 feet right before it hits the ground on
Mars?

Answer:

64

Step-by-step explanation:

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

Using sides of a triangle rule, the inequality gives the range of possible values for x is  5 < x < 9.

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given that two sides of triangle are 2 and 7 inches.

Let the third side be x inches.

x < 2+7 ⇒ x < 9

7 < 2 + x ⇒ x > 5

2 < 7 + x, which is true for any positive value of x.

Thus,  5 < x < 9.

Learn more about sides of a triangle rule here

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Answer:

8 people attended the second meeting.

Step-by-step explanation:

Given that:

Number of people who attended the first meeting = 72

Let,

x be the number of people who attended second meeting.

9 times people of second meeting = Number of people who attended first meeting

9x = 72

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{72}{9}\\x=8[/tex]

Hence,

8 people attended the second meeting.

Answer:

The constant proportionally of the graph is:

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

Answer:

this is easy

Step-by-step explanation:

sin 0 is 0

cos 0 is 1

tan 45 is 1

so ...

0+1+1 is 2

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

Answer:

13.3

Step-by-step explanation:

[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]

[tex] a^2 = 8^2 + 18^2 - 2(8)(18) \cos 43^\circ [/tex]

[tex] a^2 = 64 + 324 - 288(0.73135) [/tex]

[tex] a^2 = 388 - 210.6299 [/tex]

[tex] a^2 = 177.370 [/tex]

[tex] a = \sqrt{177.370} [/tex]

[tex] a = 13.318 [/tex]

Answer: 13.3

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

Step-by-step explanation:

[tex]47.1 = 2\pi \times r \\ r = \frac{47.1}{2\pi} = 7.4962996 \\ diameter = 2 \times r \\ = 14.99 = 15 \: feet[/tex]

Answer:

area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Step-by-step explanation:

We have

a = 4 cm

b = 8cm

h = 6cm

We need to find area of trapezoid

The formula used is: [tex]Area=\frac{a+b}{2}\:h[/tex]

Putting values and finding expression:

We will not be solving the expression as question required just to find the expression by putting respective values.

[tex]Area=\frac{a+b}{2}\:h\\Area=(\frac{4+8}{2})\:\times 6[/tex]

So, area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Answer:

7 to 10 or 70%

Step-by-step explanation:

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

---------------

5x = 60

x = 12

y = 40-3x = 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

9514 1404 393

Answer:

  108

Step-by-step explanation:

The circumference of a circle is given by ...

  C = 2πr

The circle shown has a radius of 9 in, so the circumference is ...

  C = 2π(9 in) = 18π in

__

When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...

  dilated C = 6(18π in) = 108π in

The multiplier of π inches is n = 108.

Cut each sandwich into thirds.

Hopefully, your friends aren't very hungry

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

Answer:

24

Step-by-step explanation:

3 : 1/8 = 3/1 · 8/1 = 3 · 8/1 · 1 = 24/1 = 24

Hope this helped!

Answer:

High possibility it is A, C, D. I apologize if wrong

Step-by-step explanation:

Answer:B, C, E

Step-by-step explanation:

Answer:

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram

Explanation:

A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.

Answer:

True

Step-by-step explanation:

Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.

If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

Answer:

19 + 4x = 39

Step-by-step explanation:

Answer:

$279.98

Step-by-step explanation:

A 20/6 balloon payment means loan amortization is for 20 years and constant payments is for 6 years after which balloon payment is due.

The formula to calculate her constant payments based on a 15 year amortization plan is

A= P × r × r(1+r)^n/(1+r)^n-1

Where A = constant monthly payments for the 6 year period

r= interest rate

P= mortgage value loan

n= number of months =20×12=240 payments

Substitute values in the formula:

A= $155000× 0.0425×0.0425(1+0.0425)^240/(1+0.0425)^240-1

A= $279.98

To calculate what she would pay before balloon payment is due, we simply multiply her monthly payments $279.98 by number of payments 240

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

Answer:

38 degrees

Step-by-step explanation:

just know

Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1